X(x + 2) = 120sq units
<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>
<span>factor </span>
<span>(x + 12)(x - 10) </span>
<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>
<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>
<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>
<span>Our length is 12 and our width is 10</span>
3n-5=-48-40n
Move -40n to the other side. Sign changes from -40n to +40n.
3n+40n-5=-48= -48-40n+40n
3n+40n-5=-48
Move -5 to the other side.
3n+40n-5+5=-48+5
3n+40n=-43
43n=-43
Divide by 43 for both sides
43n/43=-43/43
n=-1
Answer: n=-1
The sample proportion has an approximately normal distribution, with the mean being the population mean and the standard deviation (i.e. the standard error of the sampling proportion) equal to
SE = sqrt(p*q/n) where p is the population proportion q is 1-p, and n is the sample size.
<span>(Typically, for a confkdence interval, the sample proportion and its complement are substituted for p and q.) </span>
The margin of error will be Zc*SE, where Zc is the critical value of Z for the level of confidence required. The confidence interval, then, will be the sample proportion, plus or minus the margin of error.
For a 90% confidence interval, Zc is 1.645.
<span>So the margin of error is 1.645 * sqrt(.9*.1/400), roughly .025. So your confidence interval would be around [.875, .925]
The best and most correct answer among the choices provided by your question is the second choice or letter C which is 3%.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
Remember property of exponents
add exponents of same base
ok so
50,000 is 5 times 10^4
so
50000 times 10^15=
5 times 10^4 times 10^15=
5 times
=
5 times 10^19
